ProShares Ultra Dow30 (DDM)

TotalReturn:

'Total return is the amount of value an investor earns from a security over a specific period, typically one year, when all distributions are reinvested. Total return is expressed as a percentage of the amount invested. For example, a total return of 20% means the security increased by 20% of its original value due to a price increase, distribution of dividends (if a stock), coupons (if a bond) or capital gains (if a fund). Total return is a strong measure of an investment’s overall performance.'

• Looking at the total return, or performance of 69.5% in the last 5 years of ProShares Ultra Dow30, we see it is relatively lower, thus worse in comparison to the benchmark SPY (80.2%)
• Compared with SPY (73.2%) in the period of the last 3 years, the total return, or performance of 79.6% is greater, thus better.

CAGR:

'The compound annual growth rate (CAGR) is a useful measure of growth over multiple time periods. It can be thought of as the growth rate that gets you from the initial investment value to the ending investment value if you assume that the investment has been compounding over the time period.'

• The annual performance (CAGR) over 5 years of ProShares Ultra Dow30 is 11.2%, which is lower, thus worse compared to the benchmark SPY (12.5%) in the same period.
• Compared with SPY (20.2%) in the period of the last 3 years, the compounded annual growth rate (CAGR) of 21.7% is higher, thus better.

Volatility:

'In finance, volatility (symbol σ) is the degree of variation of a trading price series over time as measured by the standard deviation of logarithmic returns. Historic volatility measures a time series of past market prices. Implied volatility looks forward in time, being derived from the market price of a market-traded derivative (in particular, an option). Commonly, the higher the volatility, the riskier the security.'

• Looking at the historical 30 days volatility of 29.3% in the last 5 years of ProShares Ultra Dow30, we see it is relatively larger, thus worse in comparison to the benchmark SPY (17%)
• Compared with SPY (15%) in the period of the last 3 years, the 30 days standard deviation of 26.5% is larger, thus worse.

DownVol:

'Risk measures typically quantify the downside risk, whereas the standard deviation (an example of a deviation risk measure) measures both the upside and downside risk. Specifically, downside risk in our definition is the semi-deviation, that is the standard deviation of all negative returns.'

• The downside risk over 5 years of ProShares Ultra Dow30 is 20.4%, which is higher, thus worse compared to the benchmark SPY (11.7%) in the same period.
• Compared with SPY (10.1%) in the period of the last 3 years, the downside risk of 17.9% is higher, thus worse.

Sharpe:

'The Sharpe ratio is the measure of risk-adjusted return of a financial portfolio. Sharpe ratio is a measure of excess portfolio return over the risk-free rate relative to its standard deviation. Normally, the 90-day Treasury bill rate is taken as the proxy for risk-free rate. A portfolio with a higher Sharpe ratio is considered superior relative to its peers. The measure was named after William F Sharpe, a Nobel laureate and professor of finance, emeritus at Stanford University.'

• Compared with the benchmark SPY (0.59) in the period of the last 5 years, the Sharpe Ratio of 0.3 of ProShares Ultra Dow30 is smaller, thus worse.
• During the last 3 years, the risk / return profile (Sharpe) is 0.72, which is lower, thus worse than the value of 1.18 from the benchmark.

Sortino:

'The Sortino ratio, a variation of the Sharpe ratio only factors in the downside, or negative volatility, rather than the total volatility used in calculating the Sharpe ratio. The theory behind the Sortino variation is that upside volatility is a plus for the investment, and it, therefore, should not be included in the risk calculation. Therefore, the Sortino ratio takes upside volatility out of the equation and uses only the downside standard deviation in its calculation instead of the total standard deviation that is used in calculating the Sharpe ratio.'

• Compared with the benchmark SPY (0.86) in the period of the last 5 years, the downside risk / excess return profile of 0.42 of ProShares Ultra Dow30 is lower, thus worse.
• During the last 3 years, the downside risk / excess return profile is 1.07, which is smaller, thus worse than the value of 1.76 from the benchmark.

Ulcer:

'The Ulcer Index is a technical indicator that measures downside risk, in terms of both the depth and duration of price declines. The index increases in value as the price moves farther away from a recent high and falls as the price rises to new highs. The indicator is usually calculated over a 14-day period, with the Ulcer Index showing the percentage drawdown a trader can expect from the high over that period. The greater the value of the Ulcer Index, the longer it takes for a stock to get back to the former high.'

• Compared with the benchmark SPY (8.43 ) in the period of the last 5 years, the Ulcer Index of 14 of ProShares Ultra Dow30 is greater, thus worse.
• During the last 3 years, the Ulcer Ratio is 7.79 , which is higher, thus worse than the value of 3.43 from the benchmark.

MaxDD:

'Maximum drawdown is defined as the peak-to-trough decline of an investment during a specific period. It is usually quoted as a percentage of the peak value. The maximum drawdown can be calculated based on absolute returns, in order to identify strategies that suffer less during market downturns, such as low-volatility strategies. However, the maximum drawdown can also be calculated based on returns relative to a benchmark index, for identifying strategies that show steady outperformance over time.'

• The maximum DrawDown over 5 years of ProShares Ultra Dow30 is -40.2 days, which is lower, thus worse compared to the benchmark SPY (-24.5 days) in the same period.
• Compared with SPY (-18.8 days) in the period of the last 3 years, the maximum DrawDown of -31.6 days is lower, thus worse.

MaxDuration:

'The Drawdown Duration is the length of any peak to peak period, or the time between new equity highs. The Max Drawdown Duration is the worst (the maximum/longest) amount of time an investment has seen between peaks (equity highs). Many assume Max DD Duration is the length of time between new highs during which the Max DD (magnitude) occurred. But that isn’t always the case. The Max DD duration is the longest time between peaks, period. So it could be the time when the program also had its biggest peak to valley loss (and usually is, because the program needs a long time to recover from the largest loss), but it doesn’t have to be'

• Looking at the maximum days below previous high of 517 days in the last 5 years of ProShares Ultra Dow30, we see it is relatively greater, thus worse in comparison to the benchmark SPY (488 days)
• Looking at maximum days under water in of 195 days in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (87 days).

AveDuration:

'The Average Drawdown Duration is an extension of the Maximum Drawdown. However, this metric does not explain the drawdown in dollars or percentages, rather in days, weeks, or months. The Avg Drawdown Duration is the average amount of time an investment has seen between peaks (equity highs), or in other terms the average of time under water of all drawdowns. So in contrast to the Maximum duration it does not measure only one drawdown event but calculates the average of all.'

• Compared with the benchmark SPY (119 days) in the period of the last 5 years, the average days below previous high of 136 days of ProShares Ultra Dow30 is larger, thus worse.
• Compared with SPY (19 days) in the period of the last 3 years, the average days below previous high of 41 days is larger, thus worse.